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16971066 = 23371719139
BaseRepresentation
bin100000010111…
…1010100111010
31011221012221000
41000233110322
513321033231
61403425430
7264152220
oct100572472
934835830
1016971066
119641682
125825276
133692868
14237ab10
1517536e6
hex102f53a

16971066 has 128 divisors (see below), whose sum is σ = 48384000. Its totient is φ = 4292352.

The previous prime is 16971037. The next prime is 16971091. The reversal of 16971066 is 66017961.

It is a self number, because there is not a number n which added to its sum of digits gives 16971066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 122025 + ... + 122163.

It is an arithmetic number, because the mean of its divisors is an integer number (378000).

Almost surely, 216971066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16971066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24192000).

16971066 is an abundant number, since it is smaller than the sum of its proper divisors (31412934).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16971066 is a wasteful number, since it uses less digits than its factorization.

16971066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16971066 is about 4119.5953684798. The cubic root of 16971066 is about 256.9821988508.

The spelling of 16971066 in words is "sixteen million, nine hundred seventy-one thousand, sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 19 21 27 34 38 42 51 54 57 63 102 114 119 126 133 139 153 171 189 238 266 278 306 323 342 357 378 399 417 459 513 646 714 798 834 918 969 973 1026 1071 1197 1251 1938 1946 2142 2261 2363 2394 2502 2641 2907 2919 3213 3591 3753 4522 4726 5282 5814 5838 6426 6783 7089 7182 7506 7923 8721 8757 13566 14178 15846 16541 17442 17514 18487 20349 21267 23769 26271 33082 36974 40698 42534 44897 47538 49623 52542 55461 61047 63801 71307 89794 99246 110922 122094 127602 134691 142614 148869 166383 269382 297738 314279 332766 404073 446607 499149 628558 808146 893214 942837 998298 1212219 1885674 2424438 2828511 5657022 8485533 16971066